Solve y'=(-6x+y-3)/(2x-y-1) implicitly.

Question

Solve y'=(-6x+y-3)/(2x-y-1) implicitly. 

 

Answer: (y+2x+1)^(4)(2y-6x-3)=C

 

The 4 in the answer is the exponent. Please show all your work step by step and tell me the right answer. 

Answer 1

if the answer is y = (y+2x+1)⁴ (2y-6x-3) + C, then y' = (-6x+y-3)/(2x-y-1)

I don't see how that is possible.